Poem fractal
0.068 apart. A smaller distance means the lines are built more alike.
This number is read from the build of the lines. The bright edge is that number, carried outward until the pattern repeats.
−0.3943 + 1.0985i
Drawing the boundary…
by T. S. Eliot
−0.3578 + 1.0410i
Drawing the boundary…
Each poem scrolls on its own, so the two texts stay beside each other.
All the breath and the bloom of the year in the bag of one bee:
All the wonder and wealth of the mine in the heart of one gem:
In the core of one pearl all the shade and the shine of the sea:
Breath and bloom, shade and shine,—wonder, wealth, and—how far above them—
Truth, that's brighter than gem,
Trust, that's purer than pearl,—
Brightest truth, purest trust in the universe,—all were for me
In the kiss of one girl.
by T. S. Eliot
Tra-la-la-la-la-la-laire - nil nisi divinum stabile est; caetera fumus — the gondola stopped, the old palace was there, how charming its grey and pink — goats and monkeys, with such hair too! — so the countess passed on until she came through the little park, where Niobe presented her with a cabinet, and so departed.
Burbank crossed a little bridge
Descending at a small hotel;
Princess Volupine arrived,
They were together, and he fell.
Defunctive music under sea
Passed seaward with the passing bell
Slowly: the God Hercules
Had left him, that had loved him well.
The horses, under the axletree
Beat up the dawn from Istria
With even feet. Her shuttered barge
Burned on the water all the day.
But this or such was Bleistein's way:
A saggy bending of the knees
And elbows, with the palms turned out,
Chicago Semite Viennese.
A lustreless protrusive eye
Stares from the protozoic slime
At a perspective of Canaletto.
The smoky candle end of time
Declines. On the Rialto once.
The rats are underneath the piles.
The Jew is underneath the lot.
Money in furs. The boatman smiles,
Princess Volupine extends
A meagre, blue-nailed, phthisic hand
To climb the waterstair. Lights, lights,
She entertains Sir Ferdinand
Klein. Who clipped the lion's wings
And flea'd his rump and pared his claws?
Thought Burbank, meditating on
Time's ruins, and the seven laws.
A fractal is a shape that keeps its pattern when you look closer. Coastlines, trees, shells, and weather do this. The large form and the small form are the same kind of thing. A poem can be drawn that way. The shape of the whole comes from the shape of the lines.
Primunia is the name for the source of that order: the pattern under the pattern, already there in a tree, a shell, and a verse.
The number under the picture is the poem constant. It is read from the build of the lines: their length, how uneven they are, the size of the stanzas, the share of vowels, and the way the lines end. A new word moves the number when it changes that build. The same poem always gives the same number.
Drawn on its own, that number sits in a quiet part of the plane, and most poems would look like the same soft disk. So the number is carried outward along its own direction until it meets the edge of the Mandelbrot set, where the shape turns sharp. The picture is the Julia set of that meeting place.
Each point on the canvas is folded again and again by one small rule. Points that stay near the rule form the dark interior. Points that rush away become the coloured bands. The hue comes from the poem constant, and the brightest bands turn toward gold. Change the length of a line, the stanza, or the vowel share, and both the number and the picture move.
Branching draws the poem as a tree. Each turn follows a line, and every smaller branch repeats that pattern. A longer line reaches farther. The letters at the start of a line bend the next turn. A higher share of vowels opens the branches wider.
The trunk takes its colour from the poem constant and warms toward gold at the tips. When the poem has more than one stanza, gold forks leave the trunk. Each fork is a stanza beyond the first, up to three. The tree divides where the poem divides. One stanza remains a single trunk.
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